Search a number
-
+
22021101000 = 23325359113367
BaseRepresentation
bin10100100000100011…
…110101010111001000
32002211200120211121100
4110200203311113020
5330044400213000
614041044341400
71406463161433
oct244043652710
962750524540
1022021101000
119380379128
1243269a4860
1320cc32c5a2
1410cc8b481a
1588d3eaa00
hex5208f55c8

22021101000 has 384 divisors, whose sum is σ = 76570790400. Its totient is φ = 5706086400.

The previous prime is 22021100987. The next prime is 22021101029. The reversal of 22021101000 is 10112022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60002817 + ... + 60003183.

It is an arithmetic number, because the mean of its divisors is an integer number (199403100).

Almost surely, 222021101000 is an apocalyptic number.

22021101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38285395200).

22021101000 is an abundant number, since it is smaller than the sum of its proper divisors (54549689400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22021101000 is a wasteful number, since it uses less digits than its factorization.

22021101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22021101000 its reverse (10112022), we get a palindrome (22031213022).

The spelling of 22021101000 in words is "twenty-two billion, twenty-one million, one hundred one thousand".